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Finding the Fourth Proportional to 391.90, 540.94 and 226.23

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Solution

The fourth proportional to 391.90, 540.94 and 226.23 is: 312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.90 : 540.94 = 226.23 : x
  2. Step 2: Convert to fraction form
    391.90/540.94 = 226.23/x
  3. Step 3: Cross multiply
    391.90x = 540.94 × 226.23
  4. Step 4: Simplify right side
    391.90x = 122,376.29
  5. Step 5: Solve for x
    x = 122,376.29/391.90
  6. Step 6: Final answer
    x = 312.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.